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Finding the Fourth Proportional to 1,160.28, 1,739.34 and 583.56

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Solution

The fourth proportional to 1,160.28, 1,739.34 and 583.56 is: 874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,739.34 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,739.34 = 583.56/x
  3. Step 3: Cross multiply
    1,160.28x = 1,739.34 × 583.56
  4. Step 4: Simplify right side
    1,160.28x = 1,015,009.25
  5. Step 5: Solve for x
    x = 1,015,009.25/1,160.28
  6. Step 6: Final answer
    x = 874.80

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